Finding the Fourth Proportional to 10,429.60, 14,392.77 and 5,713.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.60 : 14,392.77 = 5,713.90 : x
2. Step 2: Convert to fraction form
   10,429.60/14,392.77 = 5,713.90/x
3. Step 3: Cross multiply
   10,429.60x = 14,392.77 × 5,713.90
4. Step 4: Simplify right side
   10,429.60x = 82,238,848.50
5. Step 5: Solve for x
   x = 82,238,848.50/10,429.60
6. Step 6: Final answer
   x = 7,885.14